Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900s |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
433550880000 = 28 · 38 · 54 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33733,-2373263] |
[a1,a2,a3,a4,a6] |
Generators |
[-6812:405:64] |
Generators of the group modulo torsion |
j |
26532703436800/2709693 |
j-invariant |
L |
5.5547877952362 |
L(r)(E,1)/r! |
Ω |
0.35227952459263 |
Real period |
R |
2.6280209658726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998854569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123900v1 |
Quadratic twists by: 5 |